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Finding the Fourth Proportional to 242,622.52, 334,819.09 and 140,707.10

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Solution

The fourth proportional to 242,622.52, 334,819.09 and 140,707.10 is: 194,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,622.52 : 334,819.09 = 140,707.10 : x
  2. Step 2: Convert to fraction form
    242,622.52/334,819.09 = 140,707.10/x
  3. Step 3: Cross multiply
    242,622.52x = 334,819.09 × 140,707.10
  4. Step 4: Simplify right side
    242,622.52x = 47,111,424,191.47
  5. Step 5: Solve for x
    x = 47,111,424,191.47/242,622.52
  6. Step 6: Final answer
    x = 194,175.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.